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Quantitative Aptitude
Time and Work
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NTPC Graduate Tier 1 2025 Shift-3 📅 05 Jun, 2025

Two pipes, A and B, can fill a tank of 7800 litres in 12 hours and 10 hours, respectively. If they are opened together, how many hours will they take to fill an empty tank of 8800 litres?

A
70 / 13 hours
B
89 / 13 hours
C
88 / 13 hours
D
80 / 13 hours
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-3
Two pipes, A and B, can fill a tank of 7800 litres in 12 hours and 10 hours, respectively. If they are opened together, how many hours will they take to fill an empty tank of 8800 litres?
Correct Answer
80 / 13 hours
[Efficiency Decomposition]: First, determine the individual flow rates. Pipe A fills 7800 litres in 12 hours, meaning its rate is 7800 / 12 = 650 litres/hour. P......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Quantitative Aptitude
Chapter -
Ref. Topic Time and Work
Pg. No -
💡 Analysis & Explanation
[Efficiency Decomposition] ▼
First, determine the individual flow rates. Pipe A fills 7800 litres in 12 hours, meaning its rate is 7800 / 12 = 650 litres/hour. Pipe B fills 7800 litres in 10 hours, meaning its rate is 7800 / 10 = 780 litres/hour.
[Combined Force Formulation] ▼
When operating simultaneously, their combined filling capacity becomes 650 + 780 = 1430 litres/hour.
[Target Achievement Setup] ▼
The new objective is to fill a volume of 8800 litres using this combined rate.
[Final Calculation] ▼
Time required = Total Volume / Combined Rate = 8800 / 1430. Simplifying the fraction (dividing by 110) yields 80 / 13 hours.
Conclusion ▼
It will take exactly 80/13 hours to accomplish the task.
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